TSTP Solution File: SEU362+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 14:21:58 EDT 2022

% Result   : Theorem 2.51s 2.68s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   29 (  21 unt;   1 nHn;  29 RR)
%            Number of literals    :   49 (   2 equ;  23 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ rel_str(X)
    | ~ rel_str(Y)
    | ~ subrelstr(Y,X)
    | subset(the_InternalRel(Y),the_InternalRel(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).

cnf(7,axiom,
    ( ~ rel_str(X)
    | ~ element(Y,the_carrier(X))
    | ~ element(Z,the_carrier(X))
    | ~ related(X,Y,Z)
    | in(ordered_pair(Y,Z),the_InternalRel(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

cnf(8,axiom,
    ( ~ rel_str(X)
    | ~ element(Y,the_carrier(X))
    | ~ element(Z,the_carrier(X))
    | related(X,Y,Z)
    | ~ in(ordered_pair(Y,Z),the_InternalRel(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

cnf(9,axiom,
    ( ~ rel_str(X)
    | ~ subrelstr(Y,X)
    | rel_str(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

cnf(33,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

cnf(35,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(36,axiom,
    ( ~ in(X,Y)
    | ~ element(Y,powerset(Z))
    | element(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

cnf(37,axiom,
    ( ~ in(X,Y)
    | ~ element(Y,powerset(Z))
    | ~ empty(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

cnf(38,negated_conjecture,
    rel_str('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(39,negated_conjecture,
    subrelstr('SKOLEMAAAV13','SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(40,negated_conjecture,
    element('SKOLEMAAAV14',the_carrier('SKOLEMAAAV12')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(41,negated_conjecture,
    element('SKOLEMAAAV15',the_carrier('SKOLEMAAAV12')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(42,negated_conjecture,
    element('SKOLEMAAAV16',the_carrier('SKOLEMAAAV13')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(43,negated_conjecture,
    element('SKOLEMAAAV17',the_carrier('SKOLEMAAAV13')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(44,negated_conjecture,
    'SKOLEMAAAV16' = 'SKOLEMAAAV14',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(45,negated_conjecture,
    'SKOLEMAAAV17' = 'SKOLEMAAAV15',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(46,negated_conjecture,
    related('SKOLEMAAAV13','SKOLEMAAAV16','SKOLEMAAAV17'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(47,plain,
    related('SKOLEMAAAV13','SKOLEMAAAV14','SKOLEMAAAV15'),
    inference('REWRITE',[status(thm)],[46,45,44,theory(equality)]) ).

cnf(48,negated_conjecture,
    ~ related('SKOLEMAAAV12','SKOLEMAAAV14','SKOLEMAAAV15'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

cnf(52,plain,
    element('SKOLEMAAAV15',the_carrier('SKOLEMAAAV13')),
    inference('REWRITE',[status(thm)],[43,45,theory(equality)]) ).

cnf(53,plain,
    element('SKOLEMAAAV14',the_carrier('SKOLEMAAAV13')),
    inference('REWRITE',[status(thm)],[42,44,theory(equality)]) ).

cnf(68,plain,
    rel_str('SKOLEMAAAV13'),
    inference('HYPERRESOLVE',[status(thm)],[9,38,39]) ).

cnf(106,plain,
    ~ in(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15'),the_InternalRel('SKOLEMAAAV12')),
    inference('UR-RESOLVE',[status(thm)],[8,38,40,41,48]) ).

cnf(117,plain,
    subset(the_InternalRel('SKOLEMAAAV13'),the_InternalRel('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[5,68,38,39]) ).

cnf(119,plain,
    in(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15'),the_InternalRel('SKOLEMAAAV13')),
    inference('HYPERRESOLVE',[status(thm)],[7,68,53,52,47]) ).

cnf(378,plain,
    element(the_InternalRel('SKOLEMAAAV13'),powerset(the_InternalRel('SKOLEMAAAV12'))),
    inference('HYPERRESOLVE',[status(thm)],[35,117]) ).

cnf(13169,plain,
    ~ empty(the_InternalRel('SKOLEMAAAV12')),
    inference('UR-RESOLVE',[status(thm)],[37,378,119]) ).

cnf(13170,plain,
    element(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15'),the_InternalRel('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[36,378,119]) ).

cnf(13177,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,13169,106]),13170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 00:15:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T00:15:58
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T00:15:58
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.51/2.68  
% 2.51/2.68  
% 2.51/2.68  #||
% 2.51/2.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.68  % SZS output start Refutation
% See solution above
% 2.51/2.68  ||#
% 2.51/2.68  
% 2.51/2.68  ; Summary of computation:
% 2.51/2.68  ;     25770 formulas have been input or derived (from 289 formulas).
% 2.51/2.68  ;     13177 (51%) were retained.  Of these,
% 2.51/2.68  ;           52 ( 0%) were simplified or subsumed later,
% 2.51/2.68  ;        13125 (100%) are still being kept.
% 2.51/2.68  ; 
% 2.51/2.68  ; Run time in seconds excluding printing time:
% 2.51/2.68  ;     0.007   0%   Read assertion file          (1 call)
% 2.51/2.68  ;     0.001   0%   Assert                       (42 calls)
% 2.51/2.68  ;     0.750  34%   Process new row              (25,481 calls)
% 2.51/2.68  ;     0.890  40%   Resolution                   (576 calls)
% 2.51/2.68  ;     0.005   0%   Paramodulation               (288 calls)
% 2.51/2.68  ;     0.000   0%   Factoring                    (15 calls)
% 2.51/2.68  ;     0.005   0%   Condensing                   (1,589 calls)
% 2.51/2.68  ;     0.164   7%   Forward subsumption          (1,589 calls)
% 2.51/2.68  ;     0.028   1%   Backward subsumption         (1,380 calls)
% 2.51/2.68  ;     0.026   1%   Clause clause subsumption    (20,916 calls)
% 2.51/2.68  ;     0.127   6%   Forward simplification       (25,472 calls)
% 2.51/2.68  ;     0.091   4%   Backward simplification      (13,176 calls)
% 2.51/2.68  ;     0.002   0%   Ordering                     (2,859 calls)
% 2.51/2.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.51/2.68  ;     0.000   0%   Purity testing               (1 call)
% 2.51/2.68  ;     0.110   5%   Other
% 2.51/2.68  ;     2.206        Total
% 2.51/2.68  ;     2.208        Real time
% 2.51/2.68  ; 
% 2.51/2.68  ; Term-hash-array has 26,236 terms in all.
% 2.51/2.68  ; Feature-vector-row-index has 1,376 entries (1,376 at peak, 1,380 added, 4 deleted).
% 2.51/2.68  ; Feature-vector-row-index has 1,816 nodes (1,816 at peak, 1,832 added, 16 deleted).
% 2.51/2.68  ;  Retrieved 14,975 possibly forward subsuming rows in 1,589 calls.
% 2.51/2.68  ;  Retrieved 5,954 possibly backward subsumed rows in 1,380 calls.
% 2.51/2.68  ; Path-index has 26,151 entries (26,151 at peak, 26,248 added, 97 deleted).
% 2.51/2.68  ; Path-index has 1,899 nodes (1,899 at peak, 1,915 added, 16 deleted).
% 2.51/2.68  ; Trie-index has 26,151 entries (26,151 at peak, 26,248 added, 97 deleted).
% 2.51/2.68  ; Trie-index has 45,693 nodes (45,693 at peak, 45,822 added, 129 deleted).
% 2.51/2.68  ; Retrieved 12,269 generalization terms in 29,492 calls.
% 2.51/2.68  ; Retrieved 11,807 instance terms in 11,795 calls.
% 2.51/2.68  ; Retrieved 1,916,943 unifiable terms in 16,700 calls.
% 2.51/2.68  ; 
% 2.51/2.68  ; The agenda of rows to process has 10 entries:
% 2.51/2.68  ;     4 with value 14              6 with value 15
% 2.51/2.68  ; The agenda of rows to give has 12840 entries:
% 2.51/2.68  ;    71 with value (4 12)       1041 with value (4 16)        2074 with value (4 20)
% 2.51/2.68  ;   135 with value (4 13)       1966 with value (4 17)         793 with value (4 21)
% 2.51/2.68  ;   232 with value (4 14)       2682 with value (4 18)         218 with value (4 22)
% 2.51/2.68  ;   588 with value (4 15)       3040 with value (4 19)
% 2.51/2.68  Evaluation took:
% 2.51/2.68    2.209 seconds of real time
% 2.51/2.68    2.013155 seconds of user run time
% 2.51/2.68    0.195981 seconds of system run time
% 2.51/2.68    [Run times include 0.31 seconds GC run time.]
% 2.51/2.68    0 calls to %EVAL
% 2.51/2.68    0 page faults and
% 2.51/2.68    158,736,288 bytes consed.
% 2.51/2.68  :PROOF-FOUND
% 2.51/2.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T00:16:01
% 2.51/2.68  :PROOF-FOUND
% 2.51/2.68  * 
%------------------------------------------------------------------------------